GCD of 142, 861, 105, 914 Calculator

Given Input numbers are 142, 861, 105, 914

In the factoring method, we have to find the divisors of all numbers

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (142, 861, 105, 914) = 1.

Given numbers are 142, 861, 105, 914

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 861 are 3 x 7 x 41

Prime factors of 105 are 3 x 5 x 7

Prime factors of 914 are 2 x 457

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 142, 861, 105, 914

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(142, 861) = 122262

GCD(142, 861) = ( 142 x 861 ) / 122262

= 142 / 861

= 142

Step2:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 142, 861, 105, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 480, 448, 753
• GCD of 327, 787, 823, 295
• GCD of 199, 266, 793, 320
• GCD of 371, 161, 318, 304
• GCD of 346, 841, 959, 987

Given numbers are 142, 861, 105, 914
The greatest common divisor of numbers 142, 861, 105, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 861, 105, 914 is 1.

1. What is the GCD of 142, 861, 105, 914?

GCD of given numbers 142, 861, 105, 914 is 1

2. How to calculate the greatest common divisor of 142, 861, 105, 914?

We can find the highest common divisor of 142, 861, 105, 914 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 142, 861, 105, 914 i.e 1.

3. How can I use the GCD of 142, 861, 105, 914Calculator?

Out the numbers 142, 861, 105, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.